What is expand (x-(a+b)/2)^2 ?

The solution to expand (x-(a+b)/2)^2 is (4x^2-4ax-4bx+a^2+2ab+b^2)/4

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expand (x-(a+b)/2)^2

expand

(x - \frac{a + b}{2})^{2}

\frac{4 x ^{2} - 4 a x - 4 b x + a ^{2} + 2 ab + b ^{2}}{4}

Solution steps

(x - \frac{a + b}{2})^{2}

Apply Perfect Square Formula:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

(x - \frac{a + b}{2})^{2} = x^{2} - 2 x \frac{a + b}{2} + (\frac{a + b}{2})^{2}

= x^{2} - 2 x \frac{a + b}{2} + (\frac{a + b}{2})^{2}

Simplify

x^{2} - 2 x \frac{a + b}{2} + (\frac{a + b}{2})^{2} : \frac{4 x ^{2} - 4 a x - 4 b x + a ^{2} + 2 ab + b ^{2}}{4}

= \frac{4 x ^{2} - 4 a x - 4 b x + a ^{2} + 2 ab + b ^{2}}{4}

\frac{d x}{( 7 x + 3 ) ^{2}}

(e^{2 x} + e^{- x})^{2}

(x^{2} + x) d x

(2 - 3) (x - 1)

(2 e^{- \frac{t}{100}} - e^{- \frac{t}{50}})^{3}

What is expand (x-(a+b)/2)^2 ?
The solution to expand (x-(a+b)/2)^2 is (4x^2-4ax-4bx+a^2+2ab+b^2)/4